Key reactions used:
\[
\text{Propene + HBr (Peroxide)}
\rightarrow
\text{Anti-Markovnikov product}
\]
\[
\text{Alkyl benzene}
\xrightarrow{KMnO_4}
\text{Benzoic acid}
\]
Soda-lime decarboxylation
\[
ArCOONa
\rightarrow
ArH
\]
Thus,
\[
\text{Cumene}
\rightarrow
\text{Benzoic acid}
\rightarrow
\text{Benzene}.
\]